On the subalgebra lattice of a Leibniz algebra
Rings and Algebras
2021-06-10 v2 Group Theory
Abstract
In this paper we begin to study the subalgebra lattice of a Leibniz algebra. In particular, we deal with Leibniz algebras whose subalgebra lattice is modular, upper semi-modular, lower semi-modular, distributive, or dually atomistic. The fact that a non-Lie Leibniz algebra has fewer one-dimensional subalgebras in general results in a number of lattice conditions being weaker than in the Lie case.
Cite
@article{arxiv.2010.12254,
title = {On the subalgebra lattice of a Leibniz algebra},
author = {Salvatore Siciliano and David A. Towers},
journal= {arXiv preprint arXiv:2010.12254},
year = {2021}
}